List of practice Questions

Consider Quick sort algorithm used to sort an array of n distinct randomly ordered element. In every call the pivot is chosen as the first element of the current subarray. Let T(n) denote the expected time to sort the array. Assume that the time to partition is linear in the size of current subarray. Which of the following option represents T(n) in this scenario.
Consider the visualization of a 3-dimensional data cube showing sales quantity for each combination of the attributes Product-type, Month \& Country. From this, if we want to further visualize the sale quantity for each combination of PT, M \& S, which of the following OLAP operator should be performed?
Which of the following NOT true? (The name of the predicate are intuitive)
A clinic specializes in testing for a Disease D. The result of the test can be either positive (+ve) or negative (-ve). A study reveals that if a person suffers from the Disease D, the test result in that clinic comes up +ve 80% of the time and negative 20% of the time. If a person is not suffering from the Disease D, the test comes out positive 10% of the time \& negative 90% of the time. It is also known among the general population the disease D occurs in 30% of the individuals. If the person tests positive for D in that clinic, the probability that he/she actually suffers from the Disease D is __________ (Round off to 2 decimal places).
A node size is 4096B. Node pointer size is 10B. Search key is 11B. Record pointer is 12B. What is the Max node pointers that can be stored in a non-leaf node of a B+ tree?
Consider two relations R(A,B) and S(E,C). A is primary key and E is a FK referring A. Which of the following operations never violate FK constraint?
Verbosity : Brevity :: Insolence : _______
My friend and I parted _____ the door _____ the cabin that I had rented _____ the night"
The product of the digits of a three-digit number is 70. The sum of the digits of the three-digit number is:
Five integers are picked from 0 to 20 with possible representation such that their mean is 12, median is 18 and they have single mode of 20. Ignoring the permutation, the number of ways to pick these five integers is ____.
"If his latest movie had been a commercial success, the actor would have made enough money to sponsor his next movie." Based only on the above sentence, which one is TRUE?
P, Q and R are three points on a circle of radius 10cm with O as its center. PQ = RQ and $\angle$PQR = 45$^\circ$ the area of the shaded region PQRO is __________ cm$^2$.
Identify the components required to calculate goodwill using the Capitalisation of Average Profits Method.
Explain the term 'cell referencing' in an electronic spreadsheet.
A company took a loan of ₹10,00,000 at 12% p.a. and offered ₹15,00,000 in 8% Debentures as collateral security. Calculate the finance cost for the year.
Calculate Cash from Operations from the following: Net Profit for the year is ₹10,000 after providing for depreciation of ₹2,000; Trade Creditors decreased by ₹15,000; Outstanding Expenses increased by ₹3,000.
Gokul Ltd. forfeited 1,000 shares of ₹10 each (₹8 called-up) for non-payment of ₹5 allotment (including ₹2 premium). If ₹3,200 was transferred to Capital Reserve after reissuing some shares at ₹7, how many shares were reissued?
Ajay is admitted as a partner. The firm's Balance Sheet shows a Workmen Compensation Reserve of ₹80,000. If a claim of ₹90,000 arises, how is the extra ₹10,000 recorded?
A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is \( \sqrt{2} \), and \( \sqrt{3} \).

दिए गए भारत के रेखा मानचित्र पर निम्न स्थानों को × चिन्ह द्वारा दर्शाइए तथा उनके नाम भी लिखिए। 
 

निम्नलिखित ऐतिहासिक तिथियों से सम्बंधित घटनाओं का उल्लेख कीजिए- 
(i) 1950 ई०
(ii) 1539 ई०
(iii) 1540 ई०
(iv) 1664 ई०
(v) 1765 ई०
(vi) 1206 ई०
(vii) 1336 ई०
(viii) 1510 ई०
(ix) 1526 ई०
(x) 1875 ई० 
 

भारतीय संविधान की मूल विशेषताओं का वर्णन कीजिए। 

अथवा 

अमेरिकी गृह युद्ध ने भारत में रैयत समुदाय के जीवन को कैसे प्रभावित किया। 
 

इस्तमरारी बंदोबस्त से ईस्ट इंडिया कम्पनी को क्या लाभ हुए थे? 

अथवा 

भारतीय राष्ट्रीय/स्वतन्त्रता आंदोलन में महात्मा गांधी की भूमिका का मूल्यांकन कीजिए। 
 

स्तूप की संरचना का वर्णन कीजिए। 

अथवा 

कबीर के जीवन व शिक्षाओं पर एक संक्षिप्त टिप्पणी लिखिए। 
 

संविधान सभा के उद्देश्यों में किन आदर्शों पर जोर दिया गया है?